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Simplifying 3x(x2 + 5) + -11 = x(3x2 + 4) Reorder the terms: 3x(5 + x2) + -11 = x(3x2 + 4) (5 * 3x + x2 * 3x) + -11 = x(3x2 + 4) (15x + 3x3) + -11 = x(3x2 + 4) Reorder the terms: -11 + 15x + 3x3 = x(3x2 + 4) Reorder the terms: -11 + 15x + 3x3 = x(4 + 3x2) -11 + 15x + 3x3 = (4 * x + 3x2 * x) -11 + 15x + 3x3 = (4x + 3x3) Add '-3x3' to each side of the equation. -11 + 15x + 3x3 + -3x3 = 4x + 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 -11 + 15x + 0 = 4x + 3x3 + -3x3 -11 + 15x = 4x + 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 -11 + 15x = 4x + 0 -11 + 15x = 4x Solving -11 + 15x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + 15x + -4x = 4x + -4x Combine like terms: 15x + -4x = 11x -11 + 11x = 4x + -4x Combine like terms: 4x + -4x = 0 -11 + 11x = 0 Add '11' to each side of the equation. -11 + 11 + 11x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 11x = 0 + 11 11x = 0 + 11 Combine like terms: 0 + 11 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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